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Finding the Third Proportional to 166,298.06 and 364,788.56

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Solution

The third proportional to 166,298.06 and 364,788.56 is: 800,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,298.06 : 364,788.56 = 364,788.56 : x
  2. Step 2: Convert to fraction form
    166,298.06/364,788.56 = 364,788.56/x
  3. Step 3: Cross multiply
    166,298.06x = 364,788.56 × 364,788.56
  4. Step 4: Simplify right side
    166,298.06x = 133,070,695,330.82
  5. Step 5: Solve for x
    x = 133,070,695,330.82/166,298.06
  6. Step 6: Final answer
    x = 800,193.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.